飛彈為武器之雙機空戰模擬系統與最佳決策之建立

The Development of Automated Piloted Simulator of One-on-One Air Combat with Fighters Equipped with Air-to-Air Missile-Scoring Functions and Optimal Strategy

孔健君(Chien-Chung Kung) ； 吳啟郁(Chi-Yu Wu)

《航空太空及民航學刊.系列B》 41卷2期 (2009/10) Pp. 91-98

https://doi.org/10.6124/JAAA.200910_41(2).04

摘要

本研究主要在探討戰機以飛彈攻擊或逃逸飛彈時之最佳決策與模擬概念，進而建構以飛彈?武器之雙機空戰模擬系統。模擬系統包括戰機的運動方程式、計分時間模式、計分模式、總分模式、決策模式、雷達運用模式、戰機逃逸模式與勝負模式等模擬子系統，藉由模擬系統的建立串連起各子系統。以質點運動方程式模擬戰機運動，以最大極限動作進行空戰，並以雙人對局理論求得最佳之決策；隨著戰機追逐與逃逸不同情況，定義方位、距離、速度與高度四種計分函數及總分模式，以期能反應空戰雙方的優勢，並符合真實情況。其次是飛彈運動之建模，本文將飛彈視?質點，著重在導引律產生之影響。本文並進行戰機發射飛彈前之雷達追蹤與鎖定系統設計、訂定符合雷達追蹤或鎖定目標時之優勢值函數。本文並模擬當戰機遭遇飛彈攻擊時之應有作?，並與現行戰機遭遇飛彈所實施之動作相比較，藉此驗證本模擬系統之正確性。

關鍵字

雙機空戰 ； 追逐逃逸 ； 對局理論 ； 雷達追蹤

並列摘要

In this paper, we will explain the theory of the optimal one-to-one air combat tactics and establish the simulation environment, which can analysis and supply the air combat fighters equipped with air-to-air missile. The governing equations of motion and the seven combat strategies of a fighter are introduced. The optimal strategy is determined in accordingly with the theory of zero-sum two-player games. The key characteristic is the suitable scoring functions and the resultant scoring function. The resultant scoring function is used to provide a combined scores and the scoring functions include an orientation score, a relative range score, etc., which can reflect the real situation of air-to-air combat. We divide simulating process into two parts. Before launching missile, the optimal pursuit/evasion tactics to the one-to-one air combat are researched. After launching missile, it will be a complex situation because of the fighters and missiles in pursuit/evasion of each other. Numerical simulation is carried out and the results show that the fighter equipped with an air-to-air missile occupies a more dominant position than the one equipped with a gun.

並列關鍵字

Air combat ； Pursuit/Evasion ； Game theory ； Radar tracking